Abel's lemma on summation by parts and Ramanujan's 1?1-series identity

• Autores: Chu Wenchang
• Localización: Aequationes mathematicae, ISSN 0001-9054, Vol. 72, Nº. 1-2, 2006, págs. 172-176
• Idioma: inglés
• DOI: 10.1007/s00010-006-2830-1
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• Resumen

  • By means of Abel's lemma on summation by parts, a new and elementary proof of Ramanujan's bilateral 1?1-series identity is presented, which is closely related to the Jacobi triple product identity.